8221167 has 24 divisors (see below), whose sum is σ = 12629760. Its totient is φ = 5138640.

The previous prime is 8221139. The next prime is 8221177. The reversal of 8221167 is 7611228.

It is not a de Polignac number, because 8221167 - 2¹⁰ = 8220143 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8221167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22218 + ... + 22584.

It is an arithmetic number, because the mean of its divisors is an integer number (526240).

Almost surely, 2^8221167 is an apocalyptic number.

8221167 is a deficient number, since it is larger than the sum of its proper divisors (4408593).

8221167 is a wasteful number, since it uses less digits than its factorization.

8221167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 520 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 8221167 is about 2867.2577491394. The cubic root of 8221167 is about 201.8263301600.

The spelling of 8221167 in words is "eight million, two hundred twenty-one thousand, one hundred sixty-seven".